Convert Square Degree to Steradian
Convert square degrees to steradians by entering a value below.
How to Convert Square Degrees to Steradians
The square degree and steradian are both units of solid angle. 1 steradian equals 3282.8065632 square degrees. This means to convert square degrees to steradians, you divide by 3282.8065632.
Formula
Step-by-Step Example
Convert 5 deg² to steradians:
We need to convert square degrees to steradians
Since 1 sr = 3282.8065632 deg², divide by 3282.8065632
5 ÷ 3282.8065632 = 0.001523087
5 deg² = 0.001523087 sr
Square Degree to Steradian Conversion Table
Quick reference table for common square degree to steradian conversions. Click any value for detailed calculation.
| Square Degrees (deg²) | Steradians (sr) |
|---|---|
| 0.1 deg² | 3.046174e-5 sr |
| 0.5 deg² | 0.0001523087 sr |
| 1 deg² | 0.0003046174 sr |
| 2 deg² | 0.0006092348 sr |
| 5 deg² | 0.001523087 sr |
| 10 deg² | 0.003046174 sr |
| 25 deg² | 0.007615435 sr |
| 50 deg² | 0.01523087 sr |
| 100 deg² | 0.03046174 sr |
About These Units
Square Degree (deg²)
A square degree (deg² or sq.deg.) equals (π/180)² ≈ 0.000305 steradians. A complete sphere covers 41,253 square degrees. The full Moon is about 0.2 deg². Common in astronomy: survey areas, galaxy cluster sizes, and cosmic microwave background maps.
Steradian (sr)
The steradian (sr) is the SI unit of solid angle—the 3D analog of the radian. One steradian is the solid angle subtended by a spherical cap with area r² on a sphere of radius r. A complete sphere subtends 4π ≈ 12.566 steradians. Used in radiometry, photometry, and antenna theory.
Frequently Asked Questions
How do I convert square degrees to steradians?
To convert square degrees to steradians, divide the value by 3282.8065632. For example, 10 deg² = 0.003046174 sr.
How many steradians are in 1 square degree?
1 square degree equals 0.0003046174 steradians.
What is the formula for square degrees to steradians?
The formula is: sr = deg² ÷ 3282.8065632.